# In the triangle below what is the tangent of 45

Posted By Admin @ September 03, 2022

#### Question:

In the triangle below, what is the tangent of 45°?

The tangent of 45° is 1 .

### What is trigonometric ratios ?

Trigonometric ratios are the ratios of the length of sides of a triangle. These ratios in trigonometry relate the ratio of sides of a right triangle to the respective angle.

The basic trigonometric ratios formulas are given below,

• sin θ = Perpendicular/Hypotenuse
• cos θ = Base/Hypotenuse
• tan θ = Perpendicular/Base
• sec θ = Hypotenuse/Base
• cosec θ = Hypotenuse/Perpendicular
• cot θ = Base/Perpendicular

According to the question

Hypotenuse of the right angled triangle =

Perpendicular of the right angled triangle = 1

Base of the right angled triangle = 1

Now,

Tan 45°

By using trigonometric ratios

tan θ = Perpendicular/Base

Tan 45° =

Tan 45° =

Tan 45° = 1

Hence, The tangent of 45° is 1 .

To know more about trigonometric ratios here:

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